Naslov
Strengthened converses of the Jensen and Edmundson- Lah-Ribarič inequalities

Autori
Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip

Izvornik
Advances in operator theory (2538-225X) 1 (2016), 1; 104-122

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
positive linear functional ; convex function ; converse ; Jensen inequality ; Edmundson-Lah-Ribari\v{; ; ; c}; ; ; inequality

Sažetak
In this paper, we give converses of the Jensen and Edmundson-Lah-Ribari\v{; ; ; c}; ; ; inequalities which are more accurate than the existing ones. These converses are given in a difference form and they rely on the recent refinement of the Jensen inequality obtained via linear interpolation of a convex function. As an application, we also derive improved converse relations for generalized means, for the H\"{; ; ; o}; ; ; lder and Hermite-Hadamard inequalities as well as for the inequalities of Giaccardi and Petrovi\'{; ; ; c}; ; ; .

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA